36457542 has 72 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 10454400.

The previous prime is 36457541. The next prime is 36457559. The reversal of 36457542 is 24575463.

36457542 is a `hidden beast` number, since 3 + 64 + 57 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36457497 and 36457506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36457541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40942 + ... + 41822.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^36457542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36457542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45749340).

36457542 is an abundant number, since it is smaller than the sum of its proper divisors (55041138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36457542 is a wasteful number, since it uses less digits than its factorization.

36457542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 36457542 is about 6038.0081152645. The cubic root of 36457542 is about 331.5857015850.

The spelling of 36457542 in words is "thirty-six million, four hundred fifty-seven thousand, five hundred forty-two".